The present invention provides methods and apparatus for adjusting voltages of bit and word lines to program a two terminal memory cell. Although the measured particle size distribution is very different from the particle size distribution of the solid poly ultimately isolated, it is useful for controlling the process. An adding circuit obtains the sum of a plurality of gradation components for deciding the gradations of the pixels in one of the columns in the liquid crystal panel at intervals of the predetermined horizontal period. One or more controls are provided to the operating system image to enable the operating system image to access the plurality of inputoutput subsystem images.